%0 Journal Article %T Positivity and unitarity constraints on dipole gluon distributions %+ Institut de Physique Théorique - UMR CNRS 3681 (IPHT) %A Peschanski, Robi %Z 11 pages, 2 figures, Dedicated to Andrzej Bialas in honor of his 80th birthday, Presented at “Particle Production in Hadronic Collisions”, Meeting in Krakow %< avec comité de lecture %Z t16/090 %@ 0587-4254 %J Acta Physica Polonica B %I Jagellonian University, Cracow %V 47 %N 7 %P 1965 - 1965 %8 2016-07-21 %D 2016 %Z 1607.06311 %R 10.5506/APhysPolB.47.1965 %Z PACS: 12.38.-t,24.85.+p,25.75.Dw,05.70.-a %Z Physics [physics] %Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Journal articles %X In the high-energy domain, gluon transverse-momentum dependent distributions in nuclei obey constraints coming from positivity and unitarity of the colorless QCD dipole distributions through Fourier-Bessel transformations. Using mathematical properties of Fourier-positive functions, we investigate the nature of these constraints which apply to dipole model building and formulation. %G English %2 https://cea.hal.science/cea-01469094/document %2 https://cea.hal.science/cea-01469094/file/1607.06311.pdf %L cea-01469094 %U https://cea.hal.science/cea-01469094 %~ CEA %~ CNRS %~ DSM-IPHT %~ CEA-UPSAY %~ UNIV-PARIS-SACLAY %~ CEA-UPSAY-SACLAY %~ CEA-DRF %~ GS-MATHEMATIQUES %~ GS-PHYSIQUE